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Simplifying 4y + 6 + -2y = 5 + y + -7 Reorder the terms: 6 + 4y + -2y = 5 + y + -7 Combine like terms: 4y + -2y = 2y 6 + 2y = 5 + y + -7 Reorder the terms: 6 + 2y = 5 + -7 + y Combine like terms: 5 + -7 = -2 6 + 2y = -2 + y Solving 6 + 2y = -2 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 6 + 2y + -1y = -2 + y + -1y Combine like terms: 2y + -1y = 1y 6 + 1y = -2 + y + -1y Combine like terms: y + -1y = 0 6 + 1y = -2 + 0 6 + 1y = -2 Add '-6' to each side of the equation. 6 + -6 + 1y = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 1y = -2 + -6 1y = -2 + -6 Combine like terms: -2 + -6 = -8 1y = -8 Divide each side by '1'. y = -8 Simplifying y = -8
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